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12 October, 05:24

Y = 2x - 2

y = x - 1

+2
Answers (1)
  1. 12 October, 05:31
    0
    x = 1, y = 0

    Step-by-step explanation:

    Solve the following system:

    {y = 2 x - 2 | (equation 1)

    y = x - 1 | (equation 2)

    Express the system in standard form:

    { - (2 x) + y = - 2 | (equation 1)

    -x + y = - 1 | (equation 2)

    Subtract 1/2 * (equation 1) from equation 2:

    { - (2 x) + y = - 2 | (equation 1)

    0 x+y/2 = 0 | (equation 2)

    Multiply equation 2 by 2:

    { - (2 x) + y = - 2 | (equation 1)

    0 x+y = 0 | (equation 2)

    Subtract equation 2 from equation 1:

    { - (2 x) + 0 y = - 2 | (equation 1)

    0 x+y = 0 | (equation 2)

    Divide equation 1 by - 2:

    {x+0 y = 1 | (equation 1)

    0 x+y = 0 | (equation 2)

    Collect results:

    Answer: {x = 1, y = 0
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